Download Free/Trial Version Of CaterpillarSSA
The program is based on the powerful model-free method of time series analysis Caterpillar (another name is SSA - SingularSpectrum analysis). It combines advantages of other methods with simplicity of visual control aids. The basic Caterpillar-SSA algorithm foranalyzing one-dimensional time series consists of transformation of the one-dimensional time series to the trajectory matrix by means of a delayprocedure (this gives the name to the whole technique); Singular Value Decomposition of the trajectory matrix; reconstruction of the originaltime series based on a number of selected eigenvectors. The result of the Caterpillar-ssa processing is a natural decomposition of the timeseries into several components, which can often be identified as trends, seasonalities and other oscillatory series, or noise components. Themethod can be naturally extended to forecasting time series and its components, processing multidimensional time series and to change-pointdetection. The "Caterpillar" ideas were independently developed in Russia (St. Petersburg, Moscow) and also in UK and USA (under the name of SSA; that is,Singular Spectrum Analysis). The new book "Analysis of Time Series Structure: SSA and Related Techniques", authors are N.Golyandina, V. Nekrutkin and A. Zhigljavsky, provides a careful, lucid description of SSA general theory and methodology (in English,ChapmanandHall/CRC, see http://www.gistatgroup.com/cat/). The method is a powerful and useful tool of time series analysis inmeteorology, hydrology, geophysics, climatology and, according to our experience, in economics, biology, physics, medicine and othersciences; that is, where short and long, one-dimensional and multidimensional, stationary and nonstationary, almost deterministic and noisytime series are to be analyzed. We are sure, that in a near future "Caterpillar"-like methods will rank among the base methods oftime series analysis and will be included in standard statistical software.
Tags: periodicities, seasonalities, statistics, software, principal, component, decomposition, singular, value, svd, reconstruction, approximation, spectrum,
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